{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.font_manager import FontProperties"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 2)\n"
     ]
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=1000, centers=[[-9,-8],[-10,6],[-10,0],[-5,-1],[0,7],[-2,3],[0,-8],[10,-5],[5, 0],[8,7]], n_features=2, random_state=1)\n",
    "print(X.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dzXncTG/+Rncm0Ykv2cEtLOQ7dvllYEdh5yVG0ZVYbN7oqgcZXCcqqRZgttsZ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\nJ4P/Bw0WTxrSPZKLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83ca7a898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],c = y, marker = 'o', s = 25, cmap = plt.cm.get_cmap(\"jet\",10))\n",
    "plt.xlabel('真实的数据分布', fontproperties=\"SimHei\", fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 35976.61719003401\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 33754.86011841394\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 32888.05075119884\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 30027.067905556167\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 29012.870399971554\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 28928.46408550669\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 28888.679277780248\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 28833.258585563886\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 8, inertia 28795.65144077101\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 9, inertia 28752.382746847317\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 10, inertia 28713.104705636004\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 11, inertia 28633.765213377086\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 12, inertia 28511.474741976963\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 13, inertia 28345.21314568786\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 14, inertia 28165.637650776713\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 15, inertia 27971.966143943588\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 16, inertia 27890.80585487112\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 17, inertia 27852.544814860947\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 18, inertia 27850.346384038858\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 19, inertia 27850.346384038858\n",
      "center shift 0.000000e+00 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 36273.92028215362\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 29104.268466639573\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28810.56983980361\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 28587.03520898655\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 28115.78617786213\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27857.70924912313\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 27851.012013749503\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 27850.346384038858\n",
      "center shift 4.348165e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 29726.715158528288\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 28054.17263252753\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28003.02492337501\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 27987.435947551607\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 27981.37217724129\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27979.817909080044\n",
      "center shift 4.405431e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 29141.413905162917\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 28225.559721577687\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28123.435517818434\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 28047.78365604709\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 28003.02492337501\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27987.435947551607\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 27981.37217724129\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 27979.817909080044\n",
      "center shift 4.405431e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 33256.38233748863\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 29999.949514964403\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28207.819247864594\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 28044.730104540766\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 27993.326108258938\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27980.877412864356\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 27980.1874748787\n",
      "center shift 3.778496e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 29355.479864611116\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 28148.57683880572\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28032.421721257444\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 27987.979910098864\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 27980.877412864356\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27980.1874748787\n",
      "center shift 3.778496e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 34373.112298882166\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 31313.34036737452\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28398.34038001734\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 28047.905740675636\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 28000.96066871065\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27982.83087833579\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 27979.817909080044\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 27979.817909080044\n",
      "center shift 0.000000e+00 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 35336.796530348394\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 34054.259009823116\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 33463.133576076514\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 32435.312224454367\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 29567.535792410752\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 28966.769268474472\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 28907.573111968064\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 28868.218968558926\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 8, inertia 28824.206354451762\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 9, inertia 28795.65144077101\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 10, inertia 28752.382746847317\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 11, inertia 28713.104705636004\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 12, inertia 28633.765213377086\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 13, inertia 28511.474741976963\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 14, inertia 28345.21314568786\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 15, inertia 28165.637650776713\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 16, inertia 27971.966143943588\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 17, inertia 27890.80585487112\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 18, inertia 27852.544814860947\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 19, inertia 27850.346384038858\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 20, inertia 27850.346384038858\n",
      "center shift 0.000000e+00 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 38770.704595545845\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 37124.750679325305\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 34067.693444237266\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 32096.881345504837\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 30399.994884296197\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 29557.338246798972\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 6, inertia 29017.935589527366\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 7, inertia 28666.57679960401\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 8, inertia 28229.987244881042\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 9, inertia 27925.462432338354\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 10, inertia 27854.88996024152\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 11, inertia 27851.012013749503\n",
      "center shift 4.391453e-02 within tolerance 4.000563e-03\n",
      "Initialization complete\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 0, inertia 30651.290742164092\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 1, inertia 28288.50972074682\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 2, inertia 28061.223725905133\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 3, inertia 27993.326108258938\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 4, inertia 27980.877412864356\n",
      "start iteration\n",
      "done sorting\n",
      "end inner loop\n",
      "Iteration 5, inertia 27980.1874748787\n",
      "center shift 3.778496e-02 within tolerance 4.000563e-03\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred_3 = KMeans(n_clusters=3, verbose = 1, n_jobs = -1, random_state=1).fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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l06b1ZuDADnbloFIJAgO1vPrqWJeTcteuYWi17qcoW1a0N1CrVYwf/4svz2SykJ1d4lQa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\nECUGEREJUWIQEZGQ/wWdxXhG0PuUqgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83b6639b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],c = y_pred_3, marker = 'o', cmap = plt.cm.get_cmap(\"jet\",3))\n",
    "plt.xlabel('k = 3', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uVDvMzQegzyNqaQmXR80g/vxXdafgKecm7XgubHoHEizQ7h7YfbR81znZJc5q\nP9VkSBGqnP+dpSq498aWXpC3OqGZkkohj3/ZxRisrMVLHna2c4iXqM9tVPTH5ySd48ykOVNoyfvU\n4yYSGEQiw0nhedryNTqqXjXN6s6un39m4YMPlj0zOsyVwutyUbddO+p16BAQUQVgjIujfseOZbt3\nNeOhj9RIHpfvI/Z41QXZdRq62OOBGUtAr4dP7j/lCziJItSfUAT773O41B2E3aXKWOCA/y2FpRvK\nL2dVRFMMpXCY1wN2BhI7x5iBnooNVPaQxVGmspXL2MVojvM5ufxOPssw0RSl0jKyazYLxo0LWmK7\nVId2mCm7XrebXx56iBaDB2NKSPDr96zo9Vjq1KHd8OFlkrm6sXxL5DOcJbDZ5w7s3xE+nwBN66rO\nZIsRru0XOiTWoA/f0W11wOe/RULiqoOmGErBzq6g4xIrbiIXkRI+blT/wslqYG7cnGAXt+PhVBy7\niwzS+ZADPEMmP+AtoXS4RmhcBQVk79sX9Jii16NEqKfy3sWLmdy0KY7c3EKnudDpaDd8OHesWKE2\nJKrBJAYWxj1tFKFmKj82A8ZNVRv+bHwbjn4G2TPVJLVQO5JebUveTRSnBlmRAM3HUCp66uIkguUd\no4TESRYLSeIarGxkF6OReJA4yGI+R3mfNsxET0LpF9MoRG82ozebA9qHgrpwywj1bvC4XNgy/VuV\n6YxGBr30EnENq3lQfBjcPwye+0o1zZxE56t9WLxYHfjKV5jU+d4QOw2vhLn/nHodY4JJX8A/r0Pt\nxmr571A+jBXb1NIXe9JPKQinW63fVFyZxJrgxoFlertVnopo1LNPCLFRCLFOCLEqyHEhhHhLCLFL\nCLFBCNEt2HUqgxyW4qScHqsKRvp2DhLJfh719VdQv2VeCnByKGghvTMNr9vNniVL+HXSJGacfz7v\nd+vGr5MmBSzKJxGKQo+77w7IOjbExBBbv37pfocw/AxCp0MXpFif1+1m/YwZpZ5fE3joSrhpoGq+\nqRWj/ntFT3j3LuiUooaGtmgIl58DH94LBz+GE1+o54RLgUPtHneHL9fx2n6h8w1cHtVZPfNh1T8x\n7R449Al8M1E1Q1mMYNCp/44eDOeffbqfQNVCRLtZmhBiH9BDShnU7iKEuAQYD1wC9AKmSCmD9HE6\nRY8ePeSqVQE6JqJ4cbCRfkH7Fagbx4os+ahQevazjtbMwEhjtjA0aP9pA43oxJKoSFhVcNvtbPv+\ne/LS0mjl7HcqAAAgAElEQVTSqxfJffsWJn4dXbeOz4cMoSAry+9JXzEaiW/YkLHr12NOTAy4psfl\nYsE997Dh88/RGY14XC563X8/AP9MnhwyjNUQE0PqoEFk796NIS6O5D59WPnee373FopCwy5dOL5t\nG25fqfCinDNuHJe8885pfSbViWPZsD0NmjeApmEkcrvckHoHHMkK30ehU6Bglpq1/NkSuP2d4LsS\ngHGXwDtj/cfSs9TQ1Xw7XNIdzkoN775VASHEaillj9LmVQVT0hXAZ752nv8IIRKFEI2klEcqU6h8\nVhPaclhRikFPUx7HTQbpfAycbNATqCRi6UwsXX05DsFlq+nO6Yzt2/mkf3/cdjsehwPFYKBpnz4M\n/+wzts2dy6JHHw1qEvI6neSnp7Py3XcZ8OSTheMFJ07gcTqJb9SIYR98wOBXXyX30CFqN2+OMS6O\n/PR01nzwAXa322/noBiNKIrCOffey+CXX/bLSO7z0ENs/PJLsnbvpnbLlnS45hoE8F6QqCNjXBxt\nhg0LGK/J1E9Uf8LFoIc/X4Eb3oBVPndgaaU0hDi1U7h5EGRb4f4QaSF/BokSblAbxtXwdKGKUAwS\nWCyE8ADvSymL2zOagF8q8SHfWKUqBrVPQfAFNoazcbAXibuEaqynrqSWxyhb4ReFOFrzP2JoC0Ad\nriSXZUg8ZPEzBWzw3VdQh6toykSy+QUXRzCSgoPdfnIJzNTlmjLJUN2Yde21FGRkFD46epxO9i9b\nxv81a1ZYZiIUHoeDnfPnM+DJJ8k5eJA511/P4X//BSFITE3lqs8/p3GPHmTv3cufr72G3mSi48iR\njFm9mqVPPsmeRYswJybS5dZbaTZwIEnt2gUt2lcrOZl+EycGjPe8917+nTq1UHEZYmNpNmAALS+8\nMEKfTs0ltQH8+arqaPZ44eJn1TyIYDsIvQ6GnaP+e5KLSshUrgm9FcpDRZiSmkgp04QQ9YFFwHgp\n5bIix+cBL0sp//C9XgJMlFKuKnadMcAYgJSUlO779++PqtwSFxsZEFAoT8FCKq+TQH9sbCOHPzjK\nW0GvITBgpKmvhEZZK4IZaM9czLQIetTFMdzkYCYVJ0fZwQ14sfkqsepQdxV6Tu4u4ulFC95CUPmN\nZ6JB7qFDvN269Wn1bFb0etoMG0baihXkp6f7+w+EIKldO7L37cPjcCB0OhSdjounTKH7mDGnLb+U\nkj2LF7Pmww9x22ycNWoUHa65BkVXOTW3qjObD0D/x9RkOZsvGE+g1mJqUlftpVCvSIsNqx1qj1LN\nUsXp2gLW/F+FiF0hhGtKirpi8LuZEM8C+VLK14uMvQ/8JqWc6Xu9HRhYkimpInwMoJqTdjMWkL5W\nlwp1uIJkJiF8ZiaJ5CDPcYJvip2tYCIVB2kQxN5fOkaa8hj1uK7Umdu5jgI24W9iUhAYMdOM+txO\nHS4rhwzVh+z9+3m3ffug+QZlolgL0NLQm83cv28fcQ0anN59NSJKjlXt+7AjDRJioU4ctG8KgzoH\ndzjfNkWdX7SNaIwJPnsQru5bcXJHmyrhYxBCxAKKlDLP9/tFUKwiHfwA3CuE+ArV+ZxT2f6Fk8TR\nnU78Rg5LcJNDAn0x09JvjkCQwrM05gFfmQwnZlpjpjlbuQzKmT+gYEBP6cZWN1nY2Eqg38GLxI6N\nHRxgEkYaEUf3cslSHaiVkkKt5GRO7Nhxehcq44OS0OnYOX8+XW+77fTuqxFRasXC2KHhz596j2qG\n+voPNdpICHh+VM1SCmUh2j6GBsBcn/NND3wppVwohBgLIKWcBixAjUjaBRQAo6MsU5nQERtWm0s9\nidTnxsLXdvYgMIRoslM6Ah21GFjqPFlqwT6JxE4aL9OWWeWSpTI5tGIFvz/3HMe3bqVh586cO3Ei\nmTt3krl7Nw27dKHtsGEoej1CCK6eOZMZ55+Px+3GXVCAITYWt80WtCKqUJTIVEoVwi9TWaN6YjLA\njAdhyp2Qnq36LUw10+oaFhVqSooUFWVKKo4HK2m85uuq5iaBATTlcYwEJiB5sfvCXQNDEEMhiPG5\nquNowXvE0CGs87ZyBXZ2ljJLT1eqV0GX3YsW8fWVV+I6GcbpM/PoLRbcNhvG+HjiGzfm9r//LnT0\n2rKy2DRzJtn795Pcpw8Ac0aNQkqJx+nEYLHQ+rLLaHXRRRxZt44106efVtVUvcXCgwcPElM3eJMn\nDY2qRJUwJVVHPOTj5AhGGvs155FIdjIaO9t9IaOQwxKsrKUDP/nNBVAw05CxHGUqXkq3ewsMpPIG\nRupioUOZ2mum8ho7uQmJC2+Iiq/hmKWqGj/dd98ppQCFZp6TfgRnXh6Zu3ez5IknuGzqVAAMFgtb\nv/2WvUuXgpQY4uIY/MoreN1uHDk5tBo6lCY9eyKEoCtwbMMGDv3zT9mUgy/8VOh0XDZ1qqYUNGoc\nWq0kHxIPB/kPG+nHDkaxkX6k8SoSLy6Oc4JvsbO7UCmoePFiJZN5Qa9Zn9tpyjOYaIGOBGLo5guD\nDcRAA2oxgBg6lbnnsoU2dGQxjXmUGLpCscgjgZn6VctCVypet5sT27eXOk+63Wz47LPC11PPPpu9\nS5YUKhFXfj4LfQpm4LPP0rRXL7+8gut//JEOI0agMxpLbeyjGAzoTCb12lKi6PX89frrhU10NDRq\nCmekKUkiKWADeaxETy0SGcJxviCdD/0qqQpMGGmKk4OACJpNDFCXa0nh2bDubWcv27kGLw7UYng6\nFIy04F3i6V3u93TqvXlI4zUy+BqBHomHetxAYx4ss8KpTKzHjzOlefOgCWkBCMHTTifpGzYwvXto\nB/utv/+O1+MhsVkzarfwDwP2OJ389uyz/PHKK2pBnGLojEZQFDzFwmENsbFcNm0aZ994Y8A5GhpV\nDc2UFAKJl308RC7L8OJEwUgar/qOFS+v7fAlioVGwYKFNmHf30xzOrCQ43yJlVWYaE59bg6Idiov\nAh1NeYxGjMfFUQw0qpI9GqSUbPrqK/595x0ceXl0uOYaet9/P8a4OBaMH8+6jz8m3IcWoShYjx1j\n//LlJc6bccEFGOPi8DidJJ97LiO//RZTfDygLvxuuz2oUkAIUgcN4sCyZQGufpfVyp5FizTFoFGj\nOOMUQxYLfEpBtVOHY/8PjYLARB3KVrbAQBKNue807ls6OmLRRUjZRIOF993H2k8+KdwRZO7cycYv\nvqDLrbey/tNPAxLVFIMBr9sdNJxUMRqx1KlDw86dS7yn9Hhw5KgJiweWLeOLoUMZ8uabND7nHIQQ\ntLnsMlZPnx6wS9GbTHQcMYKDf/wRcE2d0UhCSkqZ3ruGRlWn+tgWIsQJvg2hDMpaUV0hjp605St0\nxEdCtDOGnAMHWPPhh34LsNtuJ2f/fn575hl/h7OPk+Go+mIdzhSTiQ7Dh6MzmfC4XChBqpQGw+N0\ncvDPP5lxwQVM7dSJvMOHST3/fFpdfDGG2FOBBIbYWHredx+db75ZbaJTzA+h6PV0u+OOsrx9DY0q\nzxm3YwhV10hgQuIFXCHnqCgkcgmpvFytbPZViYN//60u4MV2BSWVs5BeL20uvZRLp05l0SOPYM/O\nxutygZRs+/57Xk1Kwl1QoI6VAZfVSsb27cy69lpu++MPrvnmG7b/+CMbv/wSvclEl9GjaX7++QDc\n+ttvfD18OJm7d6PodBhiYrjqiy9IbNas7B9CDcbnmw9Z0lqj6nPGKYa6DKeADQG7BgUzLZlKOtOx\nsQsLbbDQiXTeL+J70KPDQmPGa0rhNIhr2LDMGca1W7TAGBdHl1tuoUnPnrzfvTu4XHidTrxOZ0gn\ndUkmqJNIj4e0VavIO3yY+MaNaXfFFbS74oqAeXVatWLs+vXs+/VXUBRSzzuv1EimM4kTuXDPNJj7\nt9ok5/yz4P1xah8FjerFGacYanMp2Swij7/wYkdgQiBozv8RS2da8K7f/Hi6k86HOEgjju405E6M\nNKkk6WsGzfr3JyYpCVdBQdjZx0MmTy78fe1HH4W9M5Beb1hKyOtwkLl7N/GNG4ecs2fJEr67+WZ1\nt+Lx0LBLF66ZNYtayclhyVKT8XphwOOw8/CpDmdLN0Dvh2HXdEioevEPGiVwxikGgY7mvIWVteSz\nAh2J1GZoyASwOHoQR6nRXaeNlfUc5g1s7MBAIxoxjkQGR/2+lYFQFG759Ve+uvJKMrZtKzW5zBAX\n5xehlLF1K9IdXrXaUjusFeHLSy8ldeBArMeP48jOxlK3Lj3Hj6fTyJFk7d3LV5df7uf/SFuxgv9L\nScGQkEC/Rx+l32OPnbHVUJdugAPH/dteeqXaNe2L3+DuSypNNI1ycMYpBlAL38XRjTiqRhdRK+vY\nyW2FJisPuezjUZJ5irpcVcnSRYfE1FTGrlvHjAsuYN9vv5X4VK8oSuGCe3zLFvYsiU4XOmdeHjt+\n/NFv7OCff/LHSy/RYvBgPCF2Ka7cXH5/9lnyjx7lkrffDjgupeTYpk0gJfU7daqR5qftaeAOsvmz\nOmBTdCvka0SBmvcXWg1J440gORR2DvOmzyFec8naE6KjSjFSfQ7gX595JqQZKbZBg6h4PNPXr2fH\n/Pklmq+8brfazS0722/88KpVTElN5aM+ffj43HOZnJzMwb//jriMlU2nZqAP8tHHmqFb1Y2a1giB\nphiqADaCl37wkIeH3AqWpmKp1759yGP6mBgMMTFcO2cOepMJUM03wfwSOpOJfk8+iSEmOsbszF27\nSp0jhCB7377C1468PD4bPJicAwdwWa048/PJO3yYz4cMwZaZGRU5K4sBHaFNEzAWsUHoFEiwwHUD\nKk8ujfKhKYYqgJFGQccFhoDifDWN8559NmAx15vNpAwYwOCXX6bT9dcze+RIXq1bl/n33BPS0etx\nOPj5vvtw5edHRc5wfBoepxNznTqFr7fOmaNGRBXD6/Gw6euvIypfZSME/PofuHUQxFvAYoQre8O/\nb6q7Bo3qhaYYqgCNGIfA/9sjsFCPG2tsK86TNO3Vi+t++IF6HTuCEJhr16b/E09w8+LFrJk+nfUz\nZmDLzMSWmcnq6dPJOnAAoa8E11gYJiopJe916FDoA8lPTw/qWHcXFJB/9GjERaxsEmLU8NTcr6Fg\nNsx+TG2lqVH9OCOdz1WNRC6iKTkcZjJeChDoSOJGGjG+skWrEFoMGsQ9mzYhvd5Cx+yOefPI2LHD\n74lbejzkp6VVuPNWb7HQsHNnDv3zT8kTpcRltTJz2DAezcigWf/+6EymgF2DMS6OOq1acWLHDuq0\nbu1X7VVDoyoQ1W+YECJZCPGrEGKLEGKzEOL+IHMGCiFyhBDrfD+ToilTVSWJaziL5XTiV87mH5rw\nIIIzK/Sx6IJ/8O+/8TqDdL+TskwhqJGg5/jxXDptGsa4OJQwditum41FjzxC0z59SD3/fD9Tmd5s\nRnq9zLvrLt7v2pUpqamlKxwNjQom2o9ebuAhKWUHoDcwTggRrC3ZcillF99P8Z7QZwwCHXpq13jz\nUWkcWbuW9UV6LFQ2mTt30rBzZ8auX8/ZN9+MPgwH99pPPsHrcnHd3LkMmTyZxj170qhbN4ROh8tm\nw22z4SooIOfAAf530UUUZGRUwDvR0AiPqCoGKeURKeUa3+95wFbQ0oY1QpOxfTuf9O9P3qFDIedU\ndI/lxObNATixcyebv/oqrHKLQlHI2rMHRa+n+5gx3LliBedOnKjuioqF53rdbjZ8/nkUJNfQKB8V\nZqwVQqQCXYEVQQ73FUJsEEL8JIToWFEyaVQ9lv/nPyUW09OZTCQ2bx7WU3tEEII+Dz2Eq6CAWSNG\n4CooCFr9tThet5uYpCS/sbwjR/AEMY+5bTby0tIiJrKGxulSIYpBCBEHzAEekFIWD8xfA6RIKc8G\n3ga+C3GNMUKIVUKIVcePH4+uwBHGzj6O8T8ymI2b7NJPOIM5snp1aB+CoiA9HqxHjyK9Xhp27UqL\nIUOitoMQOh1XfPIJCY0bs/uXXwp7PZd6nl5PqyFDAhRDcp8+QUtmGOPiSOnfPyIyVxX2YecHMllJ\nHt4SqxVrVEWirhiEEAZUpfCFlPLb4sellLlSynzf7wsAgxAiKci86VLKHlLKHvXq1Yu22BEjjcls\nYziHeYM0XmITF5DD75UtVpXlZNhqAEKg81VKdebn47HbObF9O7H16kXeGS0EZ910Ew8dOcLZN96I\nq6AgZDmMYEi3m0GvvBIw3vicc0i94AJ/Z7TFQlL79rS+9NJyierIy2P+uHG8nJjIf+PimH399eQd\nOVKua0UCD5JH2cdwtvE8BxnHHoayhaMECSQoJ0vI5iq20YcN3MZONhBG+1eNMhHVns9CjcObAWRK\nKR8IMachkC6llEKInsBsoJksQbDT7flcUeSzml3cGVDuQmDiLP4oTF6zs4dc/kRHLLUYjJ6EyhC3\nSnB03To+PvdcP3ONYjIhXa6wK7FGAr3FQvurr2bbt9/idjio1awZeYcOBTUFBeOsG27gqiB+A6/b\nzapp01jzwQd43W7Ovukmet1/P4ZiDYjCQUrJhz17kr5xY2G+hNDriWvQgPE7dpSaBW7Pzmbjl1+S\nvW8fTXv3pu3ll4cVdVUSX3Kc10nDXmSXoAPOIoYvaXta1waYywle4BD2IqVizAg+oTWda3gyaCQI\nt+dztBVDP2A5sBEK/yefAFIApJTThBD3AnejRjDZgAlSyr9Kum51UQwHeIYTzCZY458EBmKmNfn8\nSwGbfXPUeck8j0BynM/xkE8tBtGQMeipXaHyVxYbPv+cH+64o3Cx01ssSI8n7EW5KHqzmdQLLmDX\nggVlPlfodH67EWEwoCgK0utV6yYpSvAe0UBS+/aM27KlzPcsC/uXLePLSy/FWSzb2xAby9C336br\n6NEhz03fsIFPBgzA63LhKijAGBdH7RYtGP3HH4V9sMvDMLaym0AfkRHBYjqSdBoRd14k/dlIVkDn\nbehJHJ/SutzXPlMIVzFENcFNSvkHpfTMlFK+A7wTTTkqC4mHUN3gcvmNXH4LeuwgT6Ja+dRFJ4Mv\nyeInLLQin5WAntpcSlMmoiMuGqJXGl63m8WPPeZXsM5tK19fbr3Fwqj587Gmp7P/99+DNvNRDAak\n1xvUHFV8TLpcpA4ZQnLfvjjy8shPT2fj//4X9N6Nuncvl8xlIX3jRrxB5HZZrRxZvbpExTBn1KjC\n/tcAzvx8Mnbs4I+XXmLQf/9b6r03YmUpOZhRuITaJKPWsrKHKProRrILG1so4C2OkIGbHsQyjkY0\nJ7yaGTl4sIa4/rbT6t2uURytJEYUqc0lUO4ktVNfAIkLN8fI4y8kbiR2sviBXdyGrGDHnsQV1Xvu\nWbwYR25ugNlI6HRh93MG1fzU7/HHOb5lC8nnnkujbt1O9XIWAp3ZTKdRo7h21qwymU8O//svA55+\nmotee41L33kHvTlwURN6Pec9/XTY1ywvddu0CSq7ISaGeh2CpQup5B05ErQooMduZ9W0aeQcOBDy\nXInkBQ5yK7uYTjrvcoTL2coc1DyMi6iFIcizoBe4nd2MZQ9bsHEMFwvI5mq2sTPMRT0OHboQz5kN\nz/Dcn0ijKYYoEkt3FKITVilxYWcPVtZG5frFyWU5W7iYdXRhAz05wlu+HVFkyTtyJKgvQXo8NOnV\ni8TU1NIvoigIKVn+4osseuQR3mnblu533cVl779P28svp9XQoVhq12bb3LnMvv56DDExQRf4YNhz\nc9n+ww8AmBISGLd9O/U7dSo8Ht+4MbcsXUrdNm3Cut7p0GLQIOIbN/ZTmEJRMMTEcPaNN4Y8r6Rm\nQvbsbN5p25aVQfpKAKzGyndkYvPFGrkBB5IXOUQWbsbQkLohDBHBHifsSCZzOOj8Azh4myP8l0P8\nRS56YBRJmIspBzMK94QoRKlRPqLqY4gWVcHH4OIE2SzEQz4J9CMG//QLKxvYxe14oxgxIbDQlMdI\n4pqo3QMgn7Xs4nY/J7rATF1GkMwTEb1XxrZtvN+tW4D5SDEYQAikxxMyCslSpw4tL76YbXPnBpyv\nt1iYcOgQCMH/NWuGMy/v1EEhMMTEYEpIID+MiJ6WQ4Zw48KFfmMelwuP04kxtmIdoNbjx5l/991s\n/+EHpNdLswEDGDZ9OnVatSrxvA969lRDg0P4SPRmM3dv2kSdlv7NFF7kIDPJCFjkY1CYRDKXU4d5\nZPIU+8OOQ4pHYQWd/cbmk8lTHMCDxO27fi/imExz3uIIM8nAi8SMwoM05loCAhk1glAlfAw1lRyW\nsRc1yEri4ijvU5uhpPAiAoGNXezgRtTnqeghEJhpEdV7ABzl3aCNhE4wi8bcH9HS4Ent2hVGA52M\nTNIZjWq4aCkPMSn9+xNXv37QBDlFp2PH/Pk4cnMDS2FLqS6QYeYpOIoqFR86gwFdGUxdkSK2Xj2u\nnT1b9TVIGbZZ7OqZM/n43HOxZ2cHrQDr9XjYMns2/SZOxINkFflk48aBF0Hg07/glNG0LRaUoLOC\nE1fM3GrFw9McwFHk/AK8rCCfX8nhYZpwH43IxUNt9CHNSxrlRzMllREvdvbxEBK7b7H0ILGTzUJy\nWIqNnaTxCpFUCoIYFOLw9+PrMZFKbAW0J7WzN4RcOlxEPtlw+IwZXDxlCo26dSOpfXuSzz231CQ2\nQ2wsXW+/HW+IJ2AJICW5hw4FdWa7bTbyDwc3aRRFb7HQaeTIcN5GhaLodGXyldRp2ZIH9u+n03XX\nBT/PV6xwH3YGs5l72cNTHOB7MoMuGh4kA6gFQGssnFWGh4W7aOj3ehX56IMs9gV4mU8WAEYUkjBo\nSiFKaIohTFwcx8Yu8viHYIFWXmzsZQI7uJ48/ozovetyJam8gfBFfgAoGGjCw4gK+GLE0I5g71ni\nxUiDiN9PKArd7riDMatXM27LFppfcEHId6no9egtFs6+6SbaXHYZnUaODJoTIN1uWl9yCSn9+mGM\nK18klyE2lnrt29PtzjvLdX5VQ28ycd6kSUEVg2Iw0Hb4lYxlN8dwYcWLFS9uVCV78v9DAAbgFZoR\nj44s3EzmMBm4wgq7aIUZB172FdmR6hEh9xombcmqELRPuRTcZLGTW9nMhezgOvbxMF5CZcG68FJ6\nHZ2yIDBhoR37edTPnOPFxh7GV0iJjYaM81NKqlxm6nMrCmVPzCorHUaMCBqRpBgMDHj6acasXs1l\nU6cihCC5b1+633UXeosFodOhMxrRm81cMnUqMUlJtLr4Yup16IA+zIQyRa+nYdeudLr+ei6bNo3b\n//67XMloVZXaLVpwznOTwGIGvQ50OvQWC/0mTiSzfSrHcAUs0kWDsCWgQ5CDhyzcDGcbn3KMvThK\nDE1QUJXKARy8wWGGs403UetFnUNc0J2ABYWr0Dr/VASa87kUtnMdBWwh2v6C0AgacjfH+DRA6QjM\nNOFh6jEq6lJYWcchXsbGNvTUpgG3k8QNFbJjAfjr9df59emnkVIWNrYZ+tZbIZ/ej65fz/bvv0dv\nsdDx2mtJbNas8JjLZuOf//s//n33XfJDREEhBMa4OPpMmMB5kyZVeHOgimIN+dzJbizb9tBw1i/o\nJMirh/Jpx0vZQgGj2RVW7JkFhQHEs5TcIKokPCwoTKcl3YljFfnczW4kamKbBG6gHg/7ijM7fT4H\nJ156ER/gp9AITpXIfI4WFaUY7OxlG1cHOF7VZx2BwIjEQbhOtvJioAku0gmmnBpwB42ZENX7F8dD\nHqBUeD/qrL172fbddyg6He2GDw/Z/zlcbFlZvNm4cYCzWh8Tw2XTpnHWqFElhnZWdySSQWzmaJAd\ncCwCI0rQLONochYx3E8jehOPDS+/kUMeXs4lvjCJbjX53MOewuJ8HiTPkszl2m6iVLSopAjg4jgC\nfZBlX2KhI3W5kkx+pID1UZYjeElmgYUYukT13kWxsYsDPIGNbQDE0o1mvISxgmLIazdvTp8HH4zY\n9Sy1azNk8mR+njABj9OJ9HgKK53WdKUAsA8HOSEWfisSawUrBYBNFHAfe2mBmU9pxaXU8TtegIex\n7A7IgH6Gg5xNLKlhZlFrlIymGErAQltkkKcpgZFaDKAeo1CI4QAbiPauIRgSG3sZTyzdSOG5qIau\neshjJzf6dgvqe81nNTu4kY78jCjDn5KUkuPHC4iLMxITU3Ehni6bjZXvvMPGL75AbzbT/a676D5m\nDMl9+7L2o4+w5+bS/qqraHPppTXWdFQUAwJ3FSuJLVGjj3ZgYxpHmVCsr9fvFK/ar+JB8h2ZPEDj\nCpCy5qMphhLQU4sG3MExPsZbmLZvQEcC9bgBgBjO4vSVQvgx34FIrKxmB9fTgZ/Rk3iasvjj4gRH\neZ8s5vkpBRUPHnLJZRm1uCDo+ZmZNj75ZC1r1hyhS5eGpKTU4pFHFnHsmJr4d801HZg27TJiY40R\nlbs4XrebTwcM4NjmzYXhqsc2bmTP4sVc/cUXXDxlSlTvXxVpiom66IOakkpDB2XaT1gQeFD9BeF4\n65y+hT4VM1Y89CGeVljIx4MnyHfFDeRVwg6npqIphhDY2Uc6H2FjMxY64iEfiY0EBtCAOwsrnao+\nhtNF+nYhF2JnJw72+cpNhP+H7sXOCb6lAbdFQB4VN7lsZwQuThDK+S5x4ihm6tq+PYMPP1zL7t2Z\nLFq0G7fbi93uYc6crTgc/u9p9uwtZGc7+PHH6yMmdzC2ff89Gdu2+eUwuAoK2DZ3Lsc2b6Z+xzOz\nceBbNOdadpT5vLKGHNTHSCom/iEv7F1KBm7+w0E8qFFMV1OXW6gXtIxeDAoX+PIoNE4fTTEEoYAt\n7ORmvDjA92epYKIlHxBXLKFMRMymKYihA815DYmLAjazg5sIVzlIXFjZECFZVE7wDW4yKSkia/va\nuvy5Jpb2zfcycGAqc+Zs4ZZbvsPl8uJ2+3+FiysFALvdw+LFezh4MIfkZPWLLaXkwPLlpK1cSUJy\nMu2uuMKvllH+0aNk79tH3bZtsdQOrxT53iVLAspTn+TA8uVnrGLoRCzPkcwLHCxT3F1ZY/Ty8bCS\nfCKpBiIAACAASURBVL9s5nCwFZk/hxMMIIHR1Ocz/p+98w6Pqkr/+OfcaZlMKkkIhEAgdKQpKCIC\noqiAIIiiFFHU/aFr77u2XXRddRUsC2JXxK6A4lJFREARFZSitNAJJYSEJCSZfs/vjzsJmcyd9EmA\nzOd58pC5986dM0zmvOe85ftm4/CFn60+uYy+1FwuPIw/YcOgQybPlksNVVGxk8m/6MSXftdmoy+7\nXF0kTt8kDA72IVGJ5vxqFcvls5ztXEdrpmKhdhk7AHks142xALicCveNHMCG1UkoYhtCbCc52caR\nI4XY7dWbNiwWAwcOFNCyZSwep5MPL7+cQ+vW4XW5MEZEsPjuu7l59WpiW7XiqxtvZNvXX2O0WPA6\nnfT+61+5bOrUSmMCMampGHzPKYtiNBLVrFmQZzUOxpBIb6KYSw6zOBpE2LrmGAAbCjm1TPl2ILmb\nPUyhJa+RzjxysKNyBU24hFifDEeYuiBsGHQoDrLytrOdDZzjS18VWGiDqtOUpCYoRGKlA1sZhZP9\nCIyouDHRDDdHoUpfVy/F/Ml2xhJNP9wcIoo+JDEBU7nsjqrgIT/oufef68nvq5Jx2AGf8bDb3VWV\nG/LD6fTSqZMmgrZm6lTm/ejiR8/N2Ikg3b2HS04sZ864cbQ47zy2f/01XocDry/FdP0bbxDXujV9\n7r67wtfoOWkSq595xt8wCIHRaqX9sGHVH/RpSA5usnCThgVbubz/RExsprhMF5C6wws0x8T+Omjv\n6UTyJAd4ljSeo3Wt7xdGn5DXMQghhgCvoC0c3pZSPlfuvPCdHwYUA5OklL9VdM9Q1zFsoh9enyZL\nfSCwYqMHLo7iYi/+X00jCYwhn+V4OFbmXGVfYS2gLTBjIJpOzMVEU78rvF6VuXO38vHHm4mIMHLL\nLWczeHB6aQHZNq7DzmadeysMb3k9hzLrIr4C553XgrVrb0EIwcC4sfyU3xY3Zt+7ULHg5E7TWxgV\nSZYzmjjyiC2TnRLbqhX37ttX6evsWbGCuePG4S4qQqoq0S1aMHb+fJI6d66T93Gq4kDlEfaxgnzM\nvkykW0jmdpqVFijexW5W6RSnlbXzlc0UFf1FWhF4oMbFb3qvZcPAhUTTjUgMCPoTE05XrYRTosBN\nCGEAdgCXApnAr8A4KeWWMtcMA+5CMwx9gFeklH0qum+oDcMhZpIV8qZyAjMtMJCAhRQc7MZBBtVZ\nr0XQEQfbq3ClkQRG04oppUdUVTJy5KesWLGHoiJtxW+zmfjrX3vzwguXAXCENznMDEo8yqoKa5Y0\nZ8VXLVnyYTvs9rrJAjEaFV55ZQhjxnQhJfk5PNJ/I6vgIZlsjpKEEQ9eDLRlF1czFzNuzNHRPFKg\nn8ZYHqmqHP3jDwwWCwkdOpQawTOZx9jHIo77+fetKDxBKqNIoBAvF7IZl86kHYeC3Rdtqwwz2t4x\n2IxiQPvrrusZR9Nr0kxc2eroMIFU1TCEOln7PGCnlHK3lNIFfAqMLHfNSGC21FgLxAkhGrTrRgIj\nqHnntaoicXMMN1nks8I3wVdvE+/iIIKqpHl6KGC135Fvv93tZxQAiorczJjxK7t2abGORK7zuaCM\nqCo8OLoff7v2Ar58q02dGQUAj0flnnuWsGbNASzmwP93FSNHaIYXI04i8GBiF21ZzFAQgpb9+lX5\ntYSikNy9O4kdOzYKo+DwKZKWD/raUXmbLECTuQ72P1GAWmUHkButt3MwvGi+axuK38RT20lIoqW3\nOpF8wjHWoZ9kEKbqhNowtAAOlHmc6TtW3WsQQkwWQqwTQqzLzq57qeeyGIlD1IP2isSBhywdyY2q\noVJIVT9CY7lUvoULd/gZhRKEgGXLdpc+pyNzSWI8Py3oztplzbEXhSYs5fGoLF++G6dX7/9dIstN\nOB5MbKI7ii2Gy6ZODcmYzgQKK8hqy/XtBJtiIi5IuLE6K/w4jFxJfIXfHBMK79KOySRzFlYuIZYn\naYm1jgLHDlS+IqdO7tWYOW3KO6WUb0ope0speyclJYX0tQxEE8OAKq7Ga0vNN9YCCza6V3qdgpWm\nTPI7Fh9vxWQK/PiNRoXY2JNKqiYSSOXvfD97NI7i0BrLJUt24fVWYypSDNzww9pGm2paFRIwEqsz\nVQugN5r8uBtJx1r65o1AHh7mklthgrUdlQ0UcSfN+YJOTCedIcTrFq3pUZn50NqNnlrV3KcjoTYM\nB8EvbzLVd6y619Q7aTxDFOcisPia5JiJ5JwA+emGRcHBLoIllylEITCTyDjiGeF37oYbemA06n/8\nV17ZMeBYdnboWpSWsGdPHkajJlDoj9DNdkpr3YRW3QPHGuYkAsHjpPr1STagFYSVyEc8wX5+roH7\nJR4FI4JkjKV9GipzhkrgZQ7zKCeTBWwYuKFcYkQwDFTs5LWiMLwGGXhh/Al1uuqvQHshRBu0yX4s\nBGhEfw3cKYT4FC34nC+lrLzxbogxEEU73sLFQVwcJYK2GIkBQMXNLm6lkF+o++S+qiOx48GO9lXR\nivBAQWCmFU9hIBIrnUqrtMuSnh7PCy9cyj33LMHrlQih1RP873/jdOUp+vZNZdWq/SF9P9rkHygP\nYjQKDAYFVZW43SqKIoiIMPLGG8MbRZygtlxKPImYeJMsDuCkJzYm04xWWMjDw1LydAPPlZGPypU0\nYS8OsqpRo2BHZQHH2YGdQcRyPU25jxTy8DDHV8sTDA/aatbIydLPEnmOCBQuI45+4UK3WhNSwyCl\n9Agh7gSWon1+70op/xRC3OY7/zqwCC0jaSdauupNoRxTheP1fTnK9hgw0wIzLZCoSLwIDCiYaM+7\nFLGZQn7lOIuxs5WGMBKqCjs2RuOym9myYhBJcW25ecKVxMXFVPi87Owipkz5vvSxlKAogvfe28DA\nga39rv3f/7bzxhsVZhDXCQaDwOsNnKCMRgNLlkxgzpwt/PRTJp06JfLww/3o3r3uu8edqZxNFK8R\n2LkuCzcmRI0Mgwp8VclEXtFzt+FgN06+IIcv6cRTpHEOUTzG/gpHYwDGkshkmmFHZTHHKULlImLp\nQWS99Qg5kwn3YwBUnBxiGjnMRcVBJN1pyRNE0gUPxznAv8jnW181ch9aMsWvsthJJtsZg5cCQqWy\nmn1Y8wEnNT8ZqN72exz3XdmfgjwTAnC7FBShKZb+8MPNdOkSPBbz1FMrefbZ1Tgc/h5hs9nAli23\n07atth3/7bfD9O//HsXF1RdaqwnljYPJpPDMM5fw4IMX1Mvrn+4U4WUF+dhR6UcMKZXEyYrw0p/N\nOBrQL28CxpHE30n19Y7eXGkfCBMCFYkNA/9HMjfTNGwQqsCpkq56WrCH+znGFz4FVUkxG8ngBhwc\nYAcTyeNbnyakygl+Zjtj8XLS524hlc4sxFAjEa+KA7o7/4hlTLfLGdFmOCPaDOezV9uiqmAvNnDr\nxYPIyozEXmiiuNCE22XA6fRy/LiDSZO+qvC+q1fvCzAKAC6Xlx49Xufrr7X6iBde+BGHo/6615Xf\nMbjdKtu3HyMvTzOIRUUuFi7cwZIlO+t1XKcDP3GCAfzBFA7wLJlcwRZepWKvrA0D3YjUPVdf3Sjc\naHLae3CwiON0DjIe/+doMpMFeJnJEd7jaMjH2Zho9IbByQFOsCZAJVXFxSFewM0R/CXDVFQc5LLA\n73oTTUjk2iplMhmIAwRGmmApU9ZfdMLI1t/iOZ5tKX38lwGD2PVHLC6nAZfTwLv/7oyj2MCq/6Xg\n9QZfIW3YcISCguBlSZ07JwUNPhcVuRk7dg7btx9j585cVLVhd5Vvv/07SUnP89BD39C06VTGj5/H\nddfNITl5KsuX727QsZ0qOFC5m93YUSlGxeHL63+Xo/xeQWD5O/LZrNOnvDkmJpBE+3qqJM7Dw2i2\n8Rj7WMOJaj3XjsqbZJW6gsPUnkavleRkLwKTjny2BzsZvnWJPxK7r0rZn6bczHEW4+ZohXLcaTzH\nvj/SeXHar/y5Yydd+8fgdKrMfaMdRpOK22lg0FWZ9Bp4FLerpG26RvZhG/cM78+Fww/jdVe8dVaU\n4OfvvrsP7777e4ACaglut8rrr69n4MDWbNp0FJerYbXuPR7J1Kk/BRwfOfJTDh68n9jYxi2FEGwy\ndaDyJbmcrRNfAJjNUV030mHczKZm9UIG4EFSSMDIvzlIgS8ZVeFk9XPZvyYjWme2YM5KAVh8+YEn\n8OpG8orw4kDWWT1EY6fR7xgspAdREDURSWfdQjcFK5EE6usYiaET82jBQxWmtf5v6Wr69pnNBx9s\n5tc1xcye2o6PX+6I026kqMCMy2ng+/ktmPdWW92Cst9XJ7FtfRxer/7HpygwYEAaUVHBdy/t2jVh\n8eIJNGumP2F4PCqZmfncf39foqLMGAyn5hdOCJg3b2tDD6PBcQVJfJAVnANtpV7XGIAJNOVS4v2m\naZWTkhkWIBoFs2/CryiCJdGaCv1Edzpg1b2mCUa/lNwwtSNsGGjhK2bzn8gFCnEMx0Lrcu4hAwai\niWOo7v0M2EhiPKk8hl45jpTw0F/cFBe7S/3p2gTvf63TbmTnH7FERAau1FVVYemnrfG4Az8+g0GQ\nmhrDrFmjKn7jgN3uoUePZN0aAZvNxNCh7UlJiWb9+smMH9+NZs2iaN06jlOp66XbrVboMmss9CVa\nt7DLisJQnXTlEi4mtkIZi5pg9AWGvyMfl46Dx4RgEslMJ52VdMVYyesbgM5Y2Y+Te2keYAAiENxH\nSjj4XIecQl/xhqM1L5DE9b5CNtD+WwT7eQgQxHMFCjYEFuIYTEc+x1BJgCyWgQhO9jP2euH3HxJZ\n+kk7jh+r2n+7gok2aZX3CrDZTHTtmsSYMV34/PNr2LXrHlJTK05XfeSRbxk9+jOWLt1F+cS0iAgj\naWlxjBvXlczMAg4cyOef/xzILbecTUGBE7XhSjcCUBTBkCHtGnoYDU4sxtJCtpI9phWFgcTQn+B/\nCzfSlERMWOpwUi1GciGb2UiRrpqqE4kbyXlEE4uRAcRUGuhewnGuYhsPsperSKAzViIQpGPhWdIY\nRUKdjT9MOMYAgIKZFjyAipMcPkfiQvo8rw52YKU9Pfi1Wvc0kUQzbuMIb7JjcwR3DulP0QkTAgNO\nR9WCZImJNvLzHRiNAo8n+HMGDWpTrdaY+/fn8/LLPwdk9SiKIC0thsmTe3PzzT0ZOvQjfvrpABaL\nkcJCF0JwShkFm83EX/5yDh07Jtb6Xps3Z/Hjjwdo1iyKYcPaY9YR8zvVuZpEziGK+eRSjJeLiaMP\nURWupGMx8iWd+IxjrKaA47jZh6vW8tiFqHxFLkYIcBNFopTKcQDcTwprOFEaJyiR7zYhiMNAHh7c\ngNvnEvuKXJ4ljcvquL95mJOEDQPgpZA8lpcahbJI3BxnEa34d7W3qs24jQhPLwYPXkjOUahqp1wh\nwGo10bNnM1/P5OBf0shIEw8/XL0c/+++26MbM1BVyaBBbZgwoRsdOswgP19z0bhc2v/JqVLyYjQK\nzj+/Jf/4xwAGD06v1b28XpUJE+aVpucajQpWq4mVKyeVNg86nWhDRKnURVWJxsBfSOYvJFOEl/Hs\nIKMOGlB5UOmAle04cPgmdQMQi4EuZWIFyZhZSGfmksPvFNGGCMaRSCxGLmBTgGGxo/I6R8KGIYQ0\nWleSxMNxFrGd8WyiLweYEmAUyl5b08K1X1c0wWW3oGcUDAZBbKwFRQFjGRMthODhh/uxceMR3G79\nJbrNZiI21sKrrw6lf/+0ao0pPj5CN2PJaFRITIxk+PCPS41CdTCbFSIjTZVfWEtUVXL55W259NK2\ntZbEePfd31mwYAd2uwe73cOJEy6ys4sYPfqzOhrt6YUNAzNIpy4+RTsSJypXE0+0r/GmF62T3BC2\n8EOZZksxGLmJZP5LOveRQjPMnKigyO1oheHqMLWlUe4YJCq7+CuFrC+VvNZLS9UQRHEOooY2tKQw\nS4/Bg9Pp2bMZ06f/THHxSbeOqkqef/5HmjfXzxgymRSWLr2ec89tUSOXx5Ah7XRrGBRFy1bKyKiZ\nzMEbbwyndet45szZwptvrtc1amazgstVO3+UzWbmrLPqRmH3zTfXB8iPSwn79uWzc2cu7do1PkG2\nQry+abx2W0SJJnuxCwcCUXo33/6T+9nDD3TDHOS7lYARKwrOct9NAfSoQhFcmJrTKHcMBayiiN8r\n7YMgsGAgipb8s8avNWBAmm4NgM1m4oYberBpU5afUSjBaFQYPDg9YAVuNCoMGJBGv36tauwHt1iM\nLFs2kaZNbURFmUqNhMGgcNddi2tcs9ClSxLr1x9i8+asoL2fa2sUjEZB06Y2hg/vUKv7lKBX/Q2a\nO8/pbFyV1RLJvzjABHbUWQtO0GIMwbSYfiO4aq8BwcO08MtCUtCC6tV1l4WpHo3SMOTzHapOtWdZ\nTCTTjL/SmcVE0LbGr5WcHMUTTwzAZjs5wdtsJrp3T2bMmC4E06qSUnLttWcxalRHIiKMREebiYoy\n06FDAh99NLrG4ymhV68UDh26n1GjOpW6lex2D06nV1fIrir06/cuf/vbt6xatb/WBiAY55+fypo1\nNwet2q4uEyZ0w2oN3DjHxFjo3Dm0fT9ONX7kBF+RiwPpV/lQskKvrE4gopodTCSVR91GkcArpHM2\nNppi4hJi+ZQOtA9SzxCmbmiUriRN08gIQYp7FKyk8ihxXFonr/fYYwPo168Vr7++jvx8B9deexYT\nJnTn3Xd/57vv9ug+JyLCyIABaVx8cRsyMnL47bfDtGwZS9++qdXyq6uqZOXKvRw4UMC556b4TXYG\ng8LixTsr3SEIAdHRFlatupGXX/6Z99/fqBuIrihIXlesXZtJSsqLCCEYMaIDM2deEbRIryrcfXcf\nvvhiCzt25FBY6CIiwojBIPjkk6srrBw/E5lPLnadYjgbCrfRjBc5xG4cQZ2uXYnkBF62VzFwrSA4\nJ0hFdln6V5JyG6buaZTqqg52s41rdF1JClai6UcbXq5xXKEqHD1aRFray0GF4C68sCX/+9944uJq\nLvVw8GABAwfO4ujRIqTUMnBGjOjAxx9fjcGgvTer9d9BxzBiRAeKi90MH96BW245m+hoC8eP20lJ\nebFGAnaRkSbatWvCpk1ZNX5PZTEaFVJTo9mx4y5Mppqnl7rdXubP386KFXtITY1h0qSeNG/e+DT9\nH2APi8kLOB6FwvO0pjUWnmA/64O4f+Ix0hsbqynwk9kwA00xcww3bmRpTGEm6fQJ906oV6qqrtoo\ndwwRpNOSKRxgCgKjL/CsEsulJHKNr3NbaFeLixdnVCgz8csvh7j66s9YvvzGGr/G2LFz2bs3z881\ntGBBBjNn/spdd/UBoFOnBDZs0J+ou3RJ4rnnBvsdi4+3cu+9fZg6dU21dgiKArff3ouuXZO59dYF\nOJ21117yeFSOHSvmjjsWUVjool27Jkye3KvS4r7ymEwGrrmmC9dc06XWYzqdGUETvqcgYNfgBVaS\nz73kYkZgRpCGhWO4OF7m2uN4WEUBTTGRjRsDAjeSQcTyLGnsxsEaThCDgcuJI7ZxTj+nBSH7ZIQQ\nLwAj0JIQdgE3SSkDliNCiL3ACbS/P09VrFldkMCVxHEJhaxDwUwUvf0qlUON260GFbADTf76p58y\n2bPnOG3aBJc0CEZ2dhG//nowIF5QXOz2MwxjxpwV1DDk5tp1j99/f1/efvt38vLspcbBYjHgcnmD\n1jqoKsycuZ733ruyTruuFRa6mTVrA263isVi4KWX1vLNN9fTt2/Lyp8cxo+BxDCYWL4lHwcqJt+e\neQixzCcXl6/0E2A/Tnpg4w+KKS5jHJxIjuHhddoSi5EkjDTxfa+6EEmXcDbRaUEog8/LgK5Syu7A\nDuCRCq4dJKXsWV9GoQQDNmIZSDR969UofPXVNu6+e3Glq2az2UBmZkGF1wTDbvcE9ZGXTc+8/vru\nWCyBbpioKBMjR+r3U05KsvH777dyww09ad48ii5dkpg+fSgTJ3avcEzFxW5efXUd7703EqvViNVq\nrBPdpZK0WKfTS2Ghixtv/CpoUD9McASC50jjXdpxG8ncQ3MW04W1FAYosDqRrKfQzyiUoCLZjYOO\nWEuNQhg4hpvnyGQYW5jADpbpuO1OFUK2Y5BSflPm4VrgmlC91unEsWPFjB8/F7u9ch+90+mla9eq\nNUkvT8uWMTRrFsWePf5/fGazgTFjTrpMWrWK5eGH+zFt2k+lXdpsNhMXXtiKoUPbB71/amoM77xz\npd8xKeGLL7ZU+N4yMwsYO7YrF13UmnnztnLoUAHPPvtjlXs+KErlshz79+dz5Ehho4wT1BaBoAc2\nemArPVYQJNxcopJavhTSiKi0c1xj47iv30S+T95jL062sY8M7NxO84YeXgD1la56M7A4yDkJfCuE\nWC+EmFxP42kw5s3bGtSVUvZwZKSJ++8/n/j4mqXlCSH44IOrsNlMpTsCm81EixbRPPbYAL9rn3pq\nEAsXjmf8+G6MGtWJd965kgULxlc7K+fLL7dWaBQMBsGgQa0BiI42k5ISTdOmUbo7lvJERpqYMWMY\nY8d2Ld1tBJMVl1LL6gpTN/QiSjfiloI5oDhNQdNf6neaZxEV4uUgLl8nidrzIUcpKNdzwo7KW2RR\nEALp89pSq2+PEOJbQE/+8zEp5XzfNY+h5YV+FOQ2F0opDwohmgLLhBDbpJSrdF5rMjAZoFWrVrUZ\ndoPicHjwegOXvIoC3bolk5NjJzExkgce6MuECd1q9Vr9+rVi27Y7efPN9ezefZyLLmrN+PHddGUr\nLrqoNRdd1LpWr5eUZEMIfU0lRdFSXh9/fAALF+7guuvmYDAoeDzeoMYkMTGS5GQbSUmR3HhjT264\noQd33HFu6fmpU9fwz3+u8CsQNBoF/fq1rLFBDRPIg6SwnkKcqHjQJn8zgidpRROMPMI+dvmcTb2w\n8SxpGE5TCewivDzBfr4jv7SY7nFSGUrtKuDXcEK3yM+EYDt2zj3FsrNCmq4qhJgE3ApcIqWsuKJM\nu34KUCilnFrRdbVNV21IMjJy6N799YB0z8hIE99/fyPnntuigUZWe37+OZOLL55d6pIqwWgU3HBD\nD554YiBRUWbS0l4OuKY8VquRu+/uw7x5Wzl48ASKIrDZTHzyydUMGtQG0LKSxo6dw6JFGaXpty1a\nRLNixY1hN1Idk4mTd8hiE8WkE8EtNKVTmUByHh6MCKLqrVN0zdhGMR9zjCxcDCCGq0ggssyY72A3\nP1LgN4lHIHiLdvQKUnORg5u3yWIlBcRj5EaaBgj83c8elpIXYBoiEMyjE63rqYVqVdNVQ2YYhBBD\ngBeBgVJK3R6BQggboEgpT/h+XwY8JaVcUtG9T2fDAPCPf6xg2rSfcDg8SCmJjDQxcWJ3XntteEMP\nrdbMnPkLDz64DJPJgKpKEhKsLF16fak09htvrOP++5fqyoCUpW/fVDIycsjJsfvtQGw2Ezt23EVK\nysmJf+vWbNatO0RaWhz9+7eq06ynMGcOi8nlMfbj8lV2RyBIxswXdCQKA9m4uZQ/dVf2A4nhNZ8C\nQj4etmAnCSOJmBjJVvLwlsqIWFG4mabcUSZ2sJEibiLDL4hvBM4ikk/QT/IIBadCHcMMtNjUMt8X\nda2U8jYhRArwtpRyGJAMfOk7bwQ+rswonAk89dQgrriiPR9+uAm3W2XcuK4MGFA9hdRTldtvP4/r\nr+/B2rWZxMZaOO+8Fn4TdVGRu8I0XdBEAidM6MYjjywPcEt5PCrvv7+BRx7pX3qsc+ekRidfEaZ6\nuFD5Jwf8JmYHkiO4+JBsbqMZR3FjRugahkyf9N+rHOZtsjAh8CCJxkB+GaMAWuzgbbK4nqTSWo0e\n2HiKVjxNJh4kHiRnY+NF2oT4ndeMUGYl6bbVklIeAob5ft8N9AjVGE5l+vRJpU+f1IYeRp0gpWT1\n6v18+OEmVFUyfnw3Lr00XXflPmRIOx5//DuooA+xlJq4nZ4BcTq9NU7hDdN42RGQcKvhRLKMPG6j\nGa2x6LZHNQK9ieJb8niXoziROH3XOYIEjk0ItmLn/DKxg+E04XLi2YuDWIw0PYVTeRuliF6YuuXB\nB5cxdOhHvP32b7zzzu9ceeUn3HHHIt1ru3RJ4rbbemMyBf/Tu+SSNlx+ub5wYVSUmUsuqV1znjCN\njyiUoBlG0b4Ygw0Dk2mGNUDNVWtk9D5HdbWk9PAgSdKZ+E0I2mPVNQrbKOYDjrIwiGZVfRI2DGFq\nxZ9/HuW1136luNhd6vYpKnLz/vsb+e23w7rPmTbtMr74YoyubHjTpjbmzLmWrl2bMmpUJz9VWqvV\nSKdOiVx5Zf35ZMOcGbQmgjQsAROeFYXrOemGvI1mPE0anbCShJGhxDOHjrTATG4V00qNQHustK1i\nQFlF8iB7GM8OpnGIKRxgEH+wpRIF6FASNgxhasWiRRm6Mt1Op4eFC3foPkcIwciRndi69Q6uvLID\nVquR2FgLd955Lvv331tan/Dhh6OZPn0offq0oGfPZJ56ahCrVk2qM8ntMI2LGbSlJRYiUYhCwYxg\nIklcQqzfdUOJZx6dWEk3XqA1LbGwhONkBpTyaZjRdiSRKFgQ9MTGa1R9V7uA46zwCQ+6kBShUoCX\nO9mNrMO+GNUhXAUUplbYbGZdMUCjUcFmq7j6NT09nvnzxwU9ryiCm246m5tuOrvW4wwTpgVmFtGZ\nTRSTg4ceRJJQBT//Duw8yr6gzURdgIpKFyJ5lBbYMPIY+/mVE0Sg0A4r5xLFCJrQCkvA87/gmK7r\nqAAv27H7pQXXF+GlV5haEUyRVFEEw4d3YMqU7+nQYTpnnfUqr7yyFre79qqqYcLUlBLJj4uJrZJR\nAPiY7KAd6ErwAJsoZiwZXMlWVlJAMZJcvPxCITM5wki2Mp+cgOcG65ZX0iO7IQgbhjC1omlTGx99\nNJrISBPR0Waio81YrUbeemsE1177Bf/5z49kZOSyZcsxHn10OaNHf9bQQw4TplocwV2tULDeQspc\nWwAAIABJREFUNC/RMqCmcCBAAmMkTXS745lR6NRAnerChiFMrbnqqs4cOfIA7747knfeuZLDhx/A\nYjGya9dxvwrv4mIP3323l3XrDjXgaMOE0fpbb6KIVeSTX0lQeQAxlbY1rSoC+IxjqGXMx9Uk0JVI\nIn3TsQWBFYVptPaTFjmMi+3Y67QfdzDCMYYwdUJ0tMXPrbR69T4KC10B16mqZO3aTHr3DjdzD9Mw\nHMDJ/7GTY3hQ0Fw5d9KcW0jWvf4iYniPo2ThqrXcnQPJqxzhE47xEq35lny+Ihc3ku5EkoaFllgY\nQZPSdNds3NzDHrZSjBGBAcEUWjKE6vdpqSphwxAmJKSlxWG1GgME8kwmhRYtwjpGYRoGieRWdpGJ\ny8899CpH6EIkfX0FacfxMIss5pBDAV6MCCwoKGWaFdUUF5IjuJlIBkqZSutfKWQvThbSBatv91Ay\n3gzseKG0sO5R9tEKS8gaH4VdSWFCwsSJ3QPSSoXQxAKvuKJDA40qTGNnO3aydGIGDlQ+4iig7SiG\n8idvc5TjeEsn5CJUPxdQbfGAn5HxAkdx81d2scfXj34HDvbiCAhCO5DM9o03FIQNQ5iQkJRkY9my\nibRpE0dkpImICCPduyezevVNuoVtYcLUBwV4g+q/bqYYF14eZA8FQUyAJLSTpgr8QiFXs401FHAM\nt65MB8BvFIVsHGFXUpiQ0adPKrt23c2ePXmYTAotW8ZW/qQwYULIWVh125ECZOOhJ5sqfL4XSMZE\nVrmqBjNaKqwVdMS1q48DyePs52PaB41r5IWwwU/YMIQJKUII0tNDFyQLE6Y6vMPRWqkQGYEcnQlZ\nS7OQCARnYWVrHagdZeFmJw4EwVJgQ5edFDYMYcKEOePZQjFfkcMnHKvVfTSTEHxCdiHZVkcSeBJ4\njP0kYiBbp9TtghC2Tw0bhjBhwpxx2FH5k2JiMLCM47zjk8sOdQWASt3GIE7g1Y0xGID7CV23x7Bh\nCBMmzBnFFxzjOQ5iQKtRcNWzFF1dCmY7g4zcgAhpEDxk9xZCTBFCHBRCbPD9DAty3RAhxHYhxE4h\nxN9DNZ4wYRqcolywh5sMhZKNFPEsmdhRKUStl11CXRGstlpv/BYEhwksIK0rQr1jeElKOTXYSSGE\nAXgVuBTIBH4VQnwtpdwS4nGFCVP3ZO8CRwGkdAVDGYG2g5th1g1w2Pd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8gMdT/QwUKeGX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\nHhYYjDHGeFhgMMYY4/FPRtvIKLLLJSwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83c6e5d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred_6 = KMeans(n_clusters=6, verbose = 0, n_jobs = -1, random_state=1).fit_predict(X)\n",
    "plt.scatter(X[:,0], X[:,1],c = y_pred_6, marker = 'o', cmap = plt.cm.get_cmap(\"jet\",6))\n",
    "plt.xlabel('k = 6', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uJa+XL4GnH1XFdZq3gFvuhq9ngSvKvuOdusA3C+GKwUoweWdzjU9Q5UJvvz/4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\njcYPbRg0Go1G44c2DBqNRqPx4/8B+z+jHbeXOB8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83c96e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred_10 = KMeans(n_clusters = 10, verbose = 0, n_jobs = -1, random_state=1).fit_predict(X)\n",
    "plt.scatter(X[:,0], X[:,1],c = y_pred_10, marker = 'o', cmap = plt.cm.get_cmap(\"jet\",10))\n",
    "plt.xlabel('k = 10', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 聚类评估指标 silhouette_score和calinski_harabaz_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start time:  2019-01-20 00:40:46\n",
      "finish time:  2019-01-20 00:40:47\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ll27ogcdtH5lYkH2ggBv7NmfO2HPo3aIW2/YdZszbaeQXeZ2OFtVsTm9jTuJ3H61kxqIM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\nU7965G5IMsaULpQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83c793390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#簇的个数\n",
    "import time\n",
    "from sklearn.metrics import silhouette_score,calinski_harabaz_score\n",
    "clusters = [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]\n",
    "silhouette_scores = []\n",
    "#轮廓系数silhouette_scores\n",
    "print('start time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "for k in clusters:\n",
    "    y_pred = KMeans(n_clusters = k, verbose = 0, n_jobs = -1, random_state=1).fit_predict(X)\n",
    "    score = silhouette_score(X, y_pred)\n",
    "    silhouette_scores.append(score)\n",
    "print('finish time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "plt.plot(clusters, silhouette_scores, '*-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('silhouette_score')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start time:  2019-01-20 00:42:02\n",
      "finish time:  2019-01-20 00:42:02\n"
     ]
    },
    {
     "data": {
      "image/png": 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yDTv5z7X9qFNLcz6k+otoNV4RObDs9TsY+elSLujTmp901pwPqRmUQEQOk7tz\nz1vzqFs7kXvP6x7vcEQqTDQTiIabSI302sxcMpdvYsTZXWl6RHK8wxGpMNFMII9H8bNEqoSNOwp4\n6P1F9EtP5ecZmvMhNUs480D+7u63m9m7hJYu+QF3Pz94HhX98EQqtwffW8TOgkIevLCn5nxIjRPO\nKKz/BM9/jWUgIlXNl9kbeHN2HrcMOpLOmvMhNVA480BmBoc7Sh0DYGbnxSQqkUpu994ifvfWPNKb\n1OOmgUfGOxyRuIikD+R5M9u3payZ/QL4ffRDEqn8np6czYqNu3jwwl6a8yE1ViQJ5GfAaDPrambX\nATcCZx7qAjNra2aTzWyhmS0ws9uC8lQz+9jMlgTPjUtdM8LMss1ssZmdVaq8r5nNC957wszU4Cxx\nsWTddkZ+tpSLjmnDgCObxjsckbgJO4G4+zJgKPAmcDFwpruXtTpvIXCHu3cH+gM3mVl34G5gkrt3\nBiYFrwneGwr0AAYDTwebWAGMBK4DOgePweHGLhItxcWhOR8pyUn87lzt8yE1WzijsObxw9FXqUAi\nMN3McPeDbijl7muANcHxdjNbBLQBhgCnBqe9CHwK3BWUv+LuBcByM8sG+pnZCqCBu08LYhoNXABM\nCPtORaLgtZmrmLFiM3+5+GiaaM6H1HDhjMKKSke5maUDxwDTgRZBcgFYS2ibXAgll2mlLssNyvYG\nx/uXi1SYDTsKeOj9b+jXIZVLMtLiHY5I3JXZhOXuK919JaFkszY47kCothDWBlNmdgTwBnC7u2/b\n7/OdA8wvKS8zG25mWWaWlZ+fH62PFeGB8QvZtaeQhy7shbrgRCLrRH8DKDKzI4HngLbAmLIuMrNa\nwbUvu/ubQfE6M2sVvN8KWB+U5wWfWyItKMsLjvcv/xF3f87dM9w9o1kzLWon0TFlST5vz1nN/zv1\nSI5sfkS8wxGpFCJJIMXuXghcBPzD3f8HaHWoC4KRUi8Ai/bbuXAcMCw4Hga8U6p8qJklm1kHQp3l\nmUFz1zYz6x985lWlrhGJqd17i7j37fl0bJrCjad2inc4IpVGJPuB7A3mflwF/DQoq1XGNQOAK4F5\nZjYnKLsHeBh41cyuBVYCPwdw9wVm9iqwkNAIrpvcvSi47kZgFFCXUOe5OtClQjz5STYrN+5izHXH\na86HSCmRJJCrgRuAB919eVBD+M+hLnD3Lzj4Kr2nHeSaB4EHD1CeBfT88RUisfPtuu0889lSLj42\njRM7ac6jokjSAAARC0lEQVSHSGlhJxB3XwjcWur1cuD/YhGUSGVQXOzc8+Y86tfRnA+RAwk7gZjZ\nAOB+oH1wnREaRNUxNqGJxNd/s1aRtXIzf72kN6kpteMdjkilE0kT1gvAr4GZQFEZ54pUaeu37+bP\n7y+if8dULj5WU45EDiSSBLLV3dVxLTXCA+MXsXtvMQ9qzofIQUWSQCab2SOE1sIqKCl091lRj0ok\njj77Np9xc1fz69OPolMzzfkQOZhIEsjxwXNGqTIHBkUvHJH4WrlxJ8NHz6Bdk7rccKq690QOJZJR\nWANjGYhIZXDjS7MoKHS6NK9PcpLmfIgcSjir8V7h7i+Z2W8O9P5+M8xFqqQu906goLB43+uPF60n\n/e73SE5KYPEDZ8cxMpHKK5ylTFKC5/oHeYhUeXcN7gpASX95nVoJDOnTmil3qeItcjDh7In+bPD8\nx9iHI1LxRn+1gv8dv5CWDZJZt72A5KQECgqLqZ+cRPP6deIdnkilFU4T1hOHet/dbz3U+yKV2dOf\nZvOXDxZzRvcWuDunN6zLZf3aMSYzh/ztu+MdnkilFk4n+syYRyFSwdydRz5czNOfLmVIn9b89ZLe\n1Er8vkX3gQu07JpIWcJpwnqxIgIRqSjFxc797y5g9Fcruez4djwwpCcJCZosKBKpSNbCakZo3/Lu\nwL6GYXfXPBCpMgqLirnrjXm8MSuX4Sd3ZMTZXTXTXKScItlQ6mVgEaHtbP8IrABmxCAmkZgoKCzi\nlrGzeWNWLneccZSSh8hhiiSBNHH3F4C97v6Zu1+DZqFLFfHdniKGj57JhPlr+f153bnltM5KHiKH\nKaIdCYPnNWZ2LrAaSI1+SCLRtX33Xq4dlcWMlZv4v4t7celx7eIdkki1EEkCecDMGgJ3AP8AGgC3\nxyQqkSjZvHMPw/6dycLV23hi6DH8tHfreIckUm1E0oR1CWDuPj9YF+sM4MLYhCVy+NZv282lz33F\nN2u389xVfZU8RKIskhrI0e6+peSFu28ys2NiEJPIYVu1aRdXvDCdDdsLGHX1cdrPXCQGIqmBJJhZ\n45IXZpZKGQnIzP5lZuvNbH6psvvNLM/M5gSPc0q9N8LMss1ssZmdVaq8r5nNC957wtT7KYewNH8H\nP3/2Kzbv3MNLvzpeyUMkRiKpgTwKfGVmrwWvLwEeLOOaUcCTwOj9yv/m7n8tXWBm3YGhQA+gNTDR\nzI5y9yJgJHAdMB14HxgMaHdE+ZGFq7dx5QvTMYP/Xn8C3Vo1iHdIItVW2DUQdx8NXASsCx4Xuft/\nyrjmc2BTmF8xBHjF3QvcfTmQDfQzs1ZAA3ef5u5OKBldEG7cUnPMXLmZoc99RXJSAq8qeYjEXCQ1\nENx9IbAwCt97i5ldBWQBd7j7ZqANMK3UOblB2d7geP/yAzKz4cBwgHbtNFyzppiavYFfjc6ief1k\nXvrV8aQ1rhfvkESqvUj6QKJlJNAR6AOsIdQ0FjXu/py7Z7h7RrNmzaL50VJJTVy4jl+OmkHbxvV4\n9YYTlDxEKkiFJxB3X+fuRe5eDDwP9AveygPaljo1LSjLC473Lxdh3NzV3PDSTLq1rM9/r++v/TtE\nKlCFJ5CgT6PEhUDJCK1xwFAzSzazDkBnINPd1wDbzKx/MPrqKuCdCg1aKqVXMnO47ZXZHNu+MS/9\n6nga1asd75BEapSI+kAiZWZjgVOBpmaWC9wHnGpmfQAntCDj9QDuvsDMXiXUx1II3BSMwAK4kdCI\nrrqERl9pBFYN988py3jgvUWc2qUZIy/vS93aifEOSaTGsdDApuopIyPDs7Ky4h2GRJG78/ikJfx9\n4hLO6dWSv196DLWT4tGVJ1I9mdlMd88I59yY1kBEomX9tt3cPHYWnZsfwcvTV/Gzvmk8fFEvkhKV\nPETiRQlEqoTHJy0hc/lmMpdv5pcnpvOH87prF0GROFMCkUrtqHsnsKew+Adlo6auYGxmDosfODtO\nUYkIKIFIJVRc7Hy1bCNjMnMoLg4ljwSDYoc6tRI4q0dLfndutzhHKSJKIFJpbNhRwGtZubwyI4eV\nG3fRqF4thp3YgXVbd/Pe/DUkJyVQUFhM/eQkzfcQqQSUQCSuioudqUs3MjYzh48WrmVvkdOvQyq/\nOeMozurRkjq1Ern+P1lcfnx7LuvXjjGZOeRv3x3vsEUEDeOVOFm/fTevz8zllcxV5GzaReN6tbj4\n2DSG9mvHkc2PiHd4IjWWhvFKpVRc7HyRvYGxmTl8vHAdhcVO/46p3HHm97UNEak6lEAk5tZv372v\nb2PVpu9ITanNNSd14NLj2tKpmWobIlWVEojERHGxMyV7A2On5zBxUai2cWKnJtx5VlfO7NGC5CTV\nNkSqOiUQOWyhWeKzefKyY3CH17JW8cqMVeRuDtU2rj2pA0P7taND05R4hyoiUaQEIoft8UlLmLF8\nExc9PZU1W3dTVOwMOLIJd5/dlTO6q7YhUl0pgUjEioqdRWu2ccFTX1JY/P0ovtzN3wFQOzGBl3/V\nP17hiUgFUQKRMu3eW8TXuVuZsWITmcs3MXPlZnYUFAJQr3YiBXuLKNIscZEaRwlEfmRHQSEzV25m\nxvJQwpiTu2XfelRHtTiCIX1a069DKv06pPLkJ9mMyczRLHGRGkgJRNi4o4AZKzbvq2EsWL2VYofE\nBKNn6wYMO6E9x6Wnclx6Ko1Tfrjr34YdBZolLlJDaSZ6NVd6hFRJzSBvy3fMWL6J6cs3MWPFJrLX\n7wAgOSmBPm0bcXyHVI7rkMqx7RqTkqy/MURqEs1El32eCEZI3TJmNq0b1SVz+SbytoQ6u+snJ5GR\n3piLjm1Dv/RUeqU11IgpEQmbEkg1tLOgkN7/+xGFRd/XLqcv3wSElkW/76fd6dchla4tG5CoTZlE\npJximkDM7F/AecB6d+8ZlKUC/wXSgRXAz919c/DeCOBaoAi41d0/DMr7AqOAusD7wG1endveymHN\n1u+YtGg9ExetY+rSjRQWOUkJhrtT5KHmqcE9QyOk1MktItEQ6xrIKOBJYHSpsruBSe7+sJndHby+\ny8y6A0OBHkBrYKKZHeXuRcBI4DpgOqEEMhiYEOPYKzV3Z8HqbUxctI6Ji9YxP28bAO2b1OPK/u05\nvVsLxs3N45UZq0hOSmBPkUZIiUh0xTSBuPvnZpa+X/EQ4NTg+EXgU+CuoPwVdy8AlptZNtDPzFYA\nDdx9GoCZjQYuoAYmkILCIr5aunFfTWPN1t2YwbHtGnPX4K6c3q05RzY/ArNQs9Soqcs1QkpEYiYe\nfSAt3H1NcLwWaBEctwGmlTovNyjbGxzvX14jbNq5h8nfhBLG59/ms3NPEXVrJfKTzk359RlHMahr\nc5oekXzAa5+98vuBFA9c0LOiQhaRGiKuneju7mYW1b4MMxsODAdo165dND+6wizN38HEhaGmqZkr\nN1Ps0KJBMkOOacMZ3VpwQqcm2jtDROIuHglknZm1cvc1ZtYKWB+U5wFtS52XFpTlBcf7lx+Quz8H\nPAeheSDRDDyaSs/PSK1Xm5krNzNx0TomLVrPsg07AejeqgE3D+rMGd1a0LNNg31NUyIilUE8Esg4\nYBjwcPD8TqnyMWb2GKFO9M5AprsXmdk2M+tPqBP9KuAfFR92dD3y4WJmLN/Epc9MY/N3e9iyay+1\nEo0TOjXl6gHpDOrWgjaN6sY7TBGRg4r1MN6xhDrMm5pZLnAfocTxqpldC6wEfg7g7gvM7FVgIVAI\n3BSMwAK4ke+H8U6ginWg795bxILVW5mzaisPvreQUgvYsnxjqLaRlGDM/sOZHKGZ3yJSRWgpkygr\nKnaW5u9gTs4W5uRuYe6qLSxeu33fsuct6ieTkGDkby+gsNh/sIKthtiKSLxpKZMK4u6s2bqbuau+\nTxbzcreyc0+o4lS/ThK90xpx/Skd6dO2Mb3TGtK8QR1+99Y8rWArIlWeEsgBHGgBQoCt3+1lXu5W\n5uZuYc6q0CN/ewEAtRKN7q0a8LO+afRu24jebRvRoUkKCQdYKkQr2IpIdaAmrAO49615vJyZw1k9\nWnJCxyb7ahjL8nfuO6djsxT6pDXalyy6taqvhQhFpMpTE1Y5dbl3AgXBxkkAH8xfywfz1wJwercW\nXHRMG3q3bcTRaY1oWLdWvMIUEakUlEBKmXLnQB54fxHvzV1NkYeapQZ2ac4DF/SkeQP1UYiIlJYQ\n7wAqk+YN6lA/OYliQqvXFhY7zesnK3mIiByAaiD7UQe3iEh41IkuIiL7RNKJriYsEREpFyUQEREp\nFyUQEREpFyUQEREpFyUQEREpFyUQEREpl2o9jNfM8gntOVIeTYENUQwnnqrLvVSX+wDdS2VUXe4D\nDu9e2rt7s3BOrNYJ5HCYWVa4Y6Eru+pyL9XlPkD3UhlVl/uAirsXNWGJiEi5KIGIiEi5KIEc3HPx\nDiCKqsu9VJf7AN1LZVRd7gMq6F7UByIiIuWiGoiIiJSLEkgpZtbWzCab2UIzW2Bmt8U7psNlZolm\nNtvMxsc7lsNhZo3M7HUz+8bMFpnZCfGOqTzM7NfB/635ZjbWzKrMZjNm9i8zW29m80uVpZrZx2a2\nJHhuHM8Yw3WQe3kk+P/1tZm9ZWaN4hljuA50L6Xeu8PM3MyaxuK7lUB+qBC4w927A/2Bm8yse5xj\nOly3AYviHUQUPA584O5dgd5UwXsyszbArUCGu/cEEoGh8Y0qIqOAwfuV3Q1McvfOwKTgdVUwih/f\ny8dAT3c/GvgWGFHRQZXTKH58L5hZW+BMICdWX6wEUoq7r3H3WcHxdkK/pNrEN6ryM7M04Fzgn/GO\n5XCYWUPgZOAFAHff4+5b4htVuSUBdc0sCagHrI5zPGFz98+BTfsVDwFeDI5fBC6o0KDK6UD34u4f\nuXth8HIakFbhgZXDQf5dAP4G3AnErKNbCeQgzCwdOAaYHt9IDsvfCf0HKo53IIepA5AP/Dtojvun\nmaXEO6hIuXse8FdCfxGuAba6+0fxjeqwtXD3NcHxWqBFPIOJomuACfEOorzMbAiQ5+5zY/k9SiAH\nYGZHAG8At7v7tnjHUx5mdh6w3t1nxjuWKEgCjgVGuvsxwE6qTlPJPkH/wBBCCbE1kGJmV8Q3qujx\n0JDOKj+s08x+R6g5++V4x1IeZlYPuAf4Q6y/SwlkP2ZWi1DyeNnd34x3PIdhAHC+ma0AXgEGmdlL\n8Q2p3HKBXHcvqQ2+TiihVDWnA8vdPd/d9wJvAifGOabDtc7MWgEEz+vjHM9hMbNfAucBl3vVnePQ\nidAfKXODn/80YJaZtYz2FymBlGJmRqidfZG7PxbveA6Hu49w9zR3TyfUUfuJu1fJv3bdfS2wysy6\nBEWnAQvjGFJ55QD9zaxe8H/tNKrgYID9jAOGBcfDgHfiGMthMbPBhJp8z3f3XfGOp7zcfZ67N3f3\n9ODnPxc4Nvg5iiolkB8aAFxJ6K/1OcHjnHgHJQDcArxsZl8DfYCH4hxPxIIa1OvALGAeoZ+/KjP7\n2czGAl8BXcws18yuBR4GzjCzJYRqWA/HM8ZwHeRengTqAx8HP/vPxDXIMB3kXirmu6tuLU1EROJJ\nNRARESkXJRARESkXJRARESkXJRARESkXJRARESkXJRCRCmRm6QdaNVWkKlICERGRclECEYkTM+sY\nLA55XLxjESmPpHgHIFITBcuyvAL8MtYrporEihKISMVrRmjNqIvcvSqu6SUCqAlLJB62ElpY8aR4\nByJyOFQDEal4e4ALgQ/NbIe7j4l3QCLloQQiEgfuvjPY9OvjIImMi3dMIpHSarwiIlIu6gMREZFy\nUQIREZFyUQIREZFyUQIREZFyUQIREZFyUQIREZFyUQIREZFyUQIREZFy+f9pXJWQXr+kYQAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83ca29c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "calinski_harabaz_scores = []\n",
    "#calinski_harabasz_scores\n",
    "print('start time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "for k in clusters:\n",
    "    y_pred = KMeans(n_clusters = k, verbose = 0, n_jobs = -1, random_state = 1).fit_predict(X)\n",
    "    score = calinski_harabaz_score(X, y_pred)\n",
    "    calinski_harabaz_scores.append(score)\n",
    "print('finish time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "plt.plot(clusters, calinski_harabaz_scores, '*-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('calinski_harabaz_scores')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## bowl method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "start time:  2019-01-20 00:41:01\n",
      "finish time:  2019-01-20 00:41:02\n"
     ]
    },
    {
     "data": {
      "image/png": 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TQU6bVGrrnfSUJKpr6+mXl8U/3t/Gy+9u5rhuOUwc1ZtxBd30RS5pEh3hi7QC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83c96e080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.spatial.distance import cdist\n",
    "mean_distances = []\n",
    "print('start time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "for k in clusters:\n",
    "    kmeans = KMeans(n_clusters = k, verbose = 0, n_jobs = -1, random_state = 1).fit(X)\n",
    "    mean_distances.append(sum(np.min(cdist(X, kmeans.cluster_centers_, 'euclidean'), axis=1))/X.shape[0])\n",
    "print('finish time: ',time.strftime('%Y-%m-%d %H:%M:%S',time.localtime(time.time())))\n",
    "plt.plot(clusters, mean_distances, '*-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('mean_distances')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MiniBatchKMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Init 1/3 with method: k-means++\n",
      "Inertia for init 1/3: 295.411363\n",
      "Init 2/3 with method: k-means++\n",
      "Inertia for init 2/3: 284.470405\n",
      "Init 3/3 with method: k-means++\n",
      "Inertia for init 3/3: 374.161643\n",
      "Minibatch iteration 1/2000: mean batch inertia: 2.689564, ewa inertia: 2.689564 \n",
      "Minibatch iteration 2/2000: mean batch inertia: 2.270181, ewa inertia: 2.647668 \n",
      "Minibatch iteration 3/2000: mean batch inertia: 2.036061, ewa inertia: 2.586568 \n",
      "Minibatch iteration 4/2000: mean batch inertia: 2.103216, ewa inertia: 2.538281 \n",
      "Minibatch iteration 5/2000: mean batch inertia: 2.045457, ewa inertia: 2.489048 \n",
      "Minibatch iteration 6/2000: mean batch inertia: 1.962612, ewa inertia: 2.436457 \n",
      "Minibatch iteration 7/2000: mean batch inertia: 2.179780, ewa inertia: 2.410815 \n",
      "Minibatch iteration 8/2000: mean batch inertia: 2.305989, ewa inertia: 2.400343 \n",
      "Minibatch iteration 9/2000: mean batch inertia: 2.229762, ewa inertia: 2.383302 \n",
      "Minibatch iteration 10/2000: mean batch inertia: 2.571837, ewa inertia: 2.402136 \n",
      "Minibatch iteration 11/2000: mean batch inertia: 2.607025, ewa inertia: 2.422605 \n",
      "Minibatch iteration 12/2000: mean batch inertia: 1.657446, ewa inertia: 2.346165 \n",
      "Minibatch iteration 13/2000: mean batch inertia: 1.317979, ewa inertia: 2.243450 \n",
      "Minibatch iteration 14/2000: mean batch inertia: 1.827251, ewa inertia: 2.201871 \n",
      "Minibatch iteration 15/2000: mean batch inertia: 1.906212, ewa inertia: 2.172335 \n",
      "Minibatch iteration 16/2000: mean batch inertia: 1.892142, ewa inertia: 2.144344 \n",
      "Minibatch iteration 17/2000: mean batch inertia: 2.153025, ewa inertia: 2.145211 \n",
      "Minibatch iteration 18/2000: mean batch inertia: 1.607262, ewa inertia: 2.091470 \n",
      "Minibatch iteration 19/2000: mean batch inertia: 2.184055, ewa inertia: 2.100719 \n",
      "Minibatch iteration 20/2000: mean batch inertia: 1.730364, ewa inertia: 2.063721 \n",
      "Minibatch iteration 21/2000: mean batch inertia: 1.974489, ewa inertia: 2.054806 \n",
      "Minibatch iteration 22/2000: mean batch inertia: 2.758048, ewa inertia: 2.125060 \n",
      "Minibatch iteration 23/2000: mean batch inertia: 2.372618, ewa inertia: 2.149791 \n",
      "Minibatch iteration 24/2000: mean batch inertia: 2.105317, ewa inertia: 2.145348 \n",
      "Minibatch iteration 25/2000: mean batch inertia: 2.057109, ewa inertia: 2.136533 \n",
      "Minibatch iteration 26/2000: mean batch inertia: 2.148105, ewa inertia: 2.137689 \n",
      "Minibatch iteration 27/2000: mean batch inertia: 1.952732, ewa inertia: 2.119212 \n",
      "Minibatch iteration 28/2000: mean batch inertia: 2.217980, ewa inertia: 2.129079 \n",
      "Minibatch iteration 29/2000: mean batch inertia: 2.097891, ewa inertia: 2.125963 \n",
      "Minibatch iteration 30/2000: mean batch inertia: 2.048534, ewa inertia: 2.118228 \n",
      "Minibatch iteration 31/2000: mean batch inertia: 1.829230, ewa inertia: 2.089357 \n",
      "Converged (lack of improvement in inertia) at iteration 31/2000\n",
      "Computing label assignment and total inertia\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "mini_batch_y_pred = MiniBatchKMeans(n_clusters=10, batch_size=50, verbose = 1, random_state=1).fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SqU9XGtK3cmkqGU1wywLY+TPsnAnhtVW6alSsykTyNg697oF1/6d9hw6ALEX6aQn0uEdl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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xb83b6317b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],c = mini_batch_y_pred, marker = 'o', cmap = plt.cm.get_cmap(\"jet\",10))\n",
    "plt.xlabel('MiniBatchKMeans k = 10', fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
